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Finding the Fourth Proportional to 30.69, 45.93 and 18.60

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Solution

The fourth proportional to 30.69, 45.93 and 18.60 is: 27.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.69 : 45.93 = 18.60 : x
  2. Step 2: Convert to fraction form
    30.69/45.93 = 18.60/x
  3. Step 3: Cross multiply
    30.69x = 45.93 × 18.60
  4. Step 4: Simplify right side
    30.69x = 854.30
  5. Step 5: Solve for x
    x = 854.30/30.69
  6. Step 6: Final answer
    x = 27.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.